Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
Durdil, Jiří. On the geometric characterization of differentiability. I. Commentationes Mathematicae Universitatis Carolinae, Tome 15 (1974) no. 3, pp. 521-540. http://geodesic.mathdoc.fr/item/CMUC_1974_15_3_a10/
@article{CMUC_1974_15_3_a10,
author = {Durdil, Ji\v{r}{\'\i}},
title = {On the geometric characterization of differentiability. {I}},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {521--540},
year = {1974},
volume = {15},
number = {3},
mrnumber = {0426019},
zbl = {0289.58004},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1974_15_3_a10/}
}
[1] M. S. BAZARAA J. J. GOODE M. Z. NASHED: On the cones of tangents with applications to mathematical programming. J. Opt. Th. Appl. 13 (1974), 369-426. | MR
[2] G. BOULIGAND: Introduction à la Géométrie Infinitésimale Directe. Paris 1932. | Zbl
[3] T. M. FLETT: Mathematical Analysis. New York 1966. | MR | Zbl
[4] T. M. FLETT: On differentiation in normed vector spaces. J. London Math. Soc. 42 (1967), 523-533. | MR
[5] M. Z. NASHED: Differentiability and related properties of nonlinear operators: Some aspects of the role of differentials ... in nonlinear Functional Analysis and Applications (ed. by J. B. Rall), New York 1971. | MR
[6] E. L. ROETMAN: Tangent planes and differentiation. Math. Mag. 43 (1970), 1-7. | MR | Zbl
[7] H. A. THURSTON: On the definition of a tangent-line. Amer. Math. Monthly 71 (1964), 1099-1103. | MR
[8] H. A. THURSTON: Tangents: an elementary survey. Math. Mag. 42 (1969), 1-11. | MR
[9] P. P. VARAIYA: Nonlinear programming in Banach space. SIAM J. Appl. Math. 15 (1967), 284-293. | MR | Zbl
[10] A. J. WARD: On Jordan curves possessing a tangent everywhere. Fund. Math. 28 (1937), 280-288.
[11] J. DURDIL: On the geometric characterization of differentiability II. Comment. Math. Univ. Carolinae (to appear). | MR | Zbl
[12] A. E. TAYLOR: Introduction to Functional Analysis. New York 1967.
[13] K. YOSIDA: Functional Analysis. Springer - Verlag 1965. | Zbl